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Finding the Fourth Proportional to 2,133.93, 2,944.72 and 1,189.82

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Solution

The fourth proportional to 2,133.93, 2,944.72 and 1,189.82 is: 1,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.93 : 2,944.72 = 1,189.82 : x
  2. Step 2: Convert to fraction form
    2,133.93/2,944.72 = 1,189.82/x
  3. Step 3: Cross multiply
    2,133.93x = 2,944.72 × 1,189.82
  4. Step 4: Simplify right side
    2,133.93x = 3,503,680.80
  5. Step 5: Solve for x
    x = 3,503,680.80/2,133.93
  6. Step 6: Final answer
    x = 1,641.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.